1- MANUFACTURING. Samsung Corporation manufactures two types of TV screen. Smart screen and normal screen. The resources it is using are limited. They have only 8000 pounds of special plastic and 40 hours of production time per week. The market requires that the total production should not exceed 2000 units of screens. The number of units of smart TV cannot exceed number of units of normal TV by more than 800 . The following table gives the unit material and the time required as well as the profit from each kind of screen. Write the mathematical model that maximizes Samsung profit and show the feasible region using the graphical technique